Constrained zonotopes: A new tool for set-based estimation and fault detection

By Joseph K. Scott, Davide Martino Raimondo, G. R. Marseglia, Richard D. Braatz. at - Automatisierungstechnik, 2016

380 citations recorded by the source corpus.

This article introduces a new class of sets, called constrained zonotopes, that can be used to enclose sets of interest for estimation and control. The numerical representation of these sets is sufficient to describe arbitrary convex polytopes when the complexity of the representation is not limited. At the same time, this representation permits the computation of exact projections, intersections, and Minkowski sums using very simple identities. Efficient and accurate methods for computing an enclosure of one constrained zonotope by another of lower complexity are provided. The advantages and disadvantages of these sets are discussed in comparison to ellipsoids, parallelotopes, zonotopes, and convex polytopes in halfspace and vertex representations. Moreover, extensive numerical comparisons demonstrate significant advantages over other classes of sets in the context of set-based state estimation and fault detection.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/08522b369a261bba9d6715a51226312d586f6459

How researchers see this paper

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In Control and Systems Engineering

1. Qing-Long Han
2. Derui Ding
3. Zidong Wang
4. Xianming Zhang
5. Xiaohua Ge
6. James Lam
7. Lei Ding
8. Huijun Gao

Citations in the corpus

• Set Propagation Techniques for Reachability Analysis (2021, neutral): “Sets of estimated states are also used to reduce the false alarm rate in fault detection [18, 19].”
• A Set-Membership Approach to Event-Triggered Filtering for General Nonlinear Systems Over Sensor Networks (2020, methodology): “It is noteworthy that, in [1], [33] and [45], a tight bound on Lagrange remainder has been obtained via interval analysis in order to improve the estimation accuracy for nonlinear systems, and a similar bounding technique has been exploited in [2], [22] and [35] to handle the uncertainties/constrain”